Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operators TF and TG with F,G∈h∞⊗Mn×n on the vector valued Bergman space La2(D,Cn).

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Veröffentlicht in:Journal of function spaces 2013-01, Vol.2013, p.1-4
Hauptverfasser: Cui, Puyu, Lu, Yufeng, Shi, Yanyue
Format: Artikel
Sprache:eng
Schlagworte:
Blocking
Commutators
Function space
Harmonics
Mathematical analysis
Operators
Studies
Symbols
Vectors (mathematics)
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Zusammenfassung:We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operators TF and TG with F,G∈h∞⊗Mn×n on the vector valued Bergman space La2(D,Cn).
ISSN:0972-6802
2314-8896
1758-4965
2314-8888
DOI:10.1155/2013/656034